1122710400 has 288 divisors, whose sum is σ = 4579208400. Its totient is φ = 256573440.

The previous prime is 1122710383. The next prime is 1122710419. The reversal of 1122710400 is 40172211.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 198816 + ... + 204384.

Almost surely, 2^1122710400 is an apocalyptic number.

1122710400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2289604200).

1122710400 is an abundant number, since it is smaller than the sum of its proper divisors (3456498000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1122710400 is a wasteful number, since it uses less digits than its factorization.

1122710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5606 (or 5586 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1122710400 is about 33506.8709371675. The cubic root of 1122710400 is about 1039.3358678963.

Adding to 1122710400 its reverse (40172211), we get a palindrome (1162882611).

The spelling of 1122710400 in words is "one billion, one hundred twenty-two million, seven hundred ten thousand, four hundred".